John has a bag of different colored marbles. He has 6 red marbles, 3 blue marbles, 7 yellow marbles, and 5 green marbles. If John reaches into the bag and randomly pulls out a marble, what is the probability that the marble will be blue? (If necessary, round to the nearest tenth.) (as a percent please!!)

Respuesta :

Answer:

P(blue) ≈ 14.3%

Step-by-step explanation:

probability P is calculated as

P = ( favourable outcome ) ÷ ( total number of possible outcomes )

here favourable outcome is blue of which there are 3

number of possible outcomes is the total = 6 + 3 + 7 + 5 = 21

P(blue) = [tex]\frac{3}{21}[/tex] = [tex]\frac{1}{7}[/tex]

to convert to a percentage multiply the fraction by 100%

P (blue) = [tex]\frac{1}{7}[/tex] × 100% = 100% ÷ 7 ≈ 14.3% ( to the nearest tenth )